1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
svlad2 [7]
3 years ago
10

Solve the following problem by defining your variables and writing a system of equations:

Mathematics
1 answer:
serious [3.7K]3 years ago
5 0

Answer:

1 donut and a bag of coffee costs $4.50

Step-by-step explanation:

Start by creating a pair of simultaneous equations.

Let x = a donut.

Let y = a bag of coffee.

Therefore:

8x+2y=18

3x+y=7.50

There are a few ways to solve these equations. This time I'll show you the elimination method. We eliminate one of the variables to get the other variable equal to a number.

Start by multiplying one of the equations by a number so that one of the variables has the same coefficient (number at the front) as the same variable in the other equation.

I'll multiply the second equation by 2 so that the y will have a coefficient of 2 like the 1st equation.

2(3x+y)=2(7.50), 6x+2y=15.

Now we have two equations with the same coefficient of y. We can subtract the equations from each other to eliminate the y variable and leave x equal to a number.

Subtracting  8x+2y=18 and 6x+2y=15 :

8x+2y-(6x+2y)=18-(15)

Simplify to get 2x=3.

Therefore x = 1.5.

Now we have one of the variables, we can find the other variable by putting the known variable back into one of the equations.

3x+y=7.50 - original equation

3(1.50)+y=7.50 - substituting x.

4.50 +y=7.50 - simplifying

y=3 - re-arranging to solve for y

Therefore, x=1.5 and y=3.

So 1 donut costs $1.50 and 1 bag of coffee costs $3.

1 donut and a bag of coffee costs $4.50

You might be interested in
Find the zeros of the following<br> please solve step by step<br> 1. x³+9x²+26x+24=0
Vlad1618 [11]

Answer: -4, -3, -2

Step-by-step explanation:

By inspection, we know x=-2 is a root.

We can thus rewrite the equation as

(x+2)\left(\frac{x^3 + 9x^2 + 26x+24}{x+2} \right)=0\\\\(x+2)(x^2 + 7x+12)=0\\\\(x+2)(x+3)(x+4)=0\\\\x=-4, -3, -2

3 0
1 year ago
Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years
o-na [289]
The answer to this would be 25.

Explanation:If Todd is three years older than jack you will have to subtract the three from that 28 to get your answer.
4 0
3 years ago
Read 2 more answers
In a class 2/5 of the children are boys.What fraction are girls
Bas_tet [7]

Answer:

3/5

Step-by-step explanation:

Self explanatory.

3 0
1 year ago
Read 2 more answers
What is number 315,962,004 write in words ​
solmaris [256]

Answer:

three hundred  fifteen million nine hundred sixty two thousand four

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I dont understand how to answer this question, help please?
kakasveta [241]
It is A. ....... i wish you had a whole chart

8 0
3 years ago
Other questions:
  • Use the graph shown to fill in the blank.<br><br> When x = -3, then y = ?
    7·1 answer
  • Is this right? i’m confused.
    14·2 answers
  • If we denote a cystic fibrosis gene with a c and a​ disease-free gene with a C​ (since the disease is​ recessive), then only a c
    9·1 answer
  • Two angles of a triangle measures 55° and 25° what is the measure of the third angle of the triangle
    15·2 answers
  • HELP PLEASE!!!!!!!!!!
    10·1 answer
  • PLEASE HELP!! solve for the value of x. <br> A. x=84<br> B.x=58<br> C.x=7<br> D.x=5
    6·1 answer
  • What’s the missing term ?
    7·2 answers
  • Halpppppp!!!!!!!!
    8·2 answers
  • Classify the equation as having one solution, infinitely many solutions or no
    14·1 answer
  • Please help I Will give brainliest
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!